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5 papers · 1 filter
Deformation Quantization of Surjective Submersions and Principal Fibre Bundles
Martin Bordemann, Nikolai Neumaier, Stefan Waldmann +1
In this paper we establish a notion of deformation quantization of a surjective submersion which is specialized further to the case of a principal fibre bundle: the functions on th…
Noncommutative field theories from a deformation point of view
Stefan Waldmann
In this review we discuss the global geometry of noncommutative field theories from a deformation point of view: The space-times under consideration are deformations of classical s…
Symplectic Connections of Ricci Type and Star Products
Michel Cahen, Simone Gutt, Stefan Waldmann
In this article we relate the construction of Ricci type symplectic connections by reduction to the construction of star product by reduction yielding rather explicit descriptions…
The H-Covariant Strong Picard Groupoid
Stefan Jansen, Stefan Waldmann
The notion of H-covariant strong Morita equivalence is introduced for *-algebras over C = R(i) with an ordered ring R which are equipped with a *-action of a Hopf *-algebra H. This…
Completely positive inner products and strong Morita equivalence
Henrique Bursztyn, Stefan Waldmann
We develop a general framework for the study of strong Morita equivalence in which -algebras and hermitian star products on Poisson manifolds are treated in equal footing. We…